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Finding the Fourth Proportional to 507,874.86, 699,271.38 and 431,232.66

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Solution

The fourth proportional to 507,874.86, 699,271.38 and 431,232.66 is: 593,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,874.86 : 699,271.38 = 431,232.66 : x
  2. Step 2: Convert to fraction form
    507,874.86/699,271.38 = 431,232.66/x
  3. Step 3: Cross multiply
    507,874.86x = 699,271.38 × 431,232.66
  4. Step 4: Simplify right side
    507,874.86x = 301,548,657,259.27
  5. Step 5: Solve for x
    x = 301,548,657,259.27/507,874.86
  6. Step 6: Final answer
    x = 593,745.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.